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Finding the Fourth Proportional to 321,265.83, 443,349.45 and 178,028.28

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Solution

The fourth proportional to 321,265.83, 443,349.45 and 178,028.28 is: 245,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,265.83 : 443,349.45 = 178,028.28 : x
  2. Step 2: Convert to fraction form
    321,265.83/443,349.45 = 178,028.28/x
  3. Step 3: Cross multiply
    321,265.83x = 443,349.45 × 178,028.28
  4. Step 4: Simplify right side
    321,265.83x = 78,928,740,022.45
  5. Step 5: Solve for x
    x = 78,928,740,022.45/321,265.83
  6. Step 6: Final answer
    x = 245,680.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.